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Finding the Fourth Proportional to 5,362.57, 8,045.22 and 2,894.00

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Solution

The fourth proportional to 5,362.57, 8,045.22 and 2,894.00 is: 4,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.57 : 8,045.22 = 2,894.00 : x
  2. Step 2: Convert to fraction form
    5,362.57/8,045.22 = 2,894.00/x
  3. Step 3: Cross multiply
    5,362.57x = 8,045.22 × 2,894.00
  4. Step 4: Simplify right side
    5,362.57x = 23,282,837.31
  5. Step 5: Solve for x
    x = 23,282,837.31/5,362.57
  6. Step 6: Final answer
    x = 4,341.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.